3 years ago

Plz help don't get it

1 answer:

6 0

The sum of a number and 11 ⇒ a + 11

The difference of a number and 74 ⇒ a - 74

Eleven added to the product of fourteen and m ⇒ Please solve this on your own.

The quotient of a number and eight take away five is forty-three ⇒ Please solve this on your own.

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The measure of anglerst can be represented by the expression (6x 12)°. three lines extend from point s. the space between lines

miv72 [106K]

Answer:

∠RST = 120°

Step-by-step explanation:

We assume the positions of the lines and angles will match the attached figure. The angle addition theorem gives a relation that can be solved for x, then for the value of angle RST.

∠RSU +∠UST = ∠RST

78° + (3x -12)° = (6x +12)° . . . . . substitute given values into the above

54 = 3x . . . . . . . . . . . . . . . . divide by °, subtract 3x+12

108 = 6x . . . . . . . . . . . multiply by 2

120° = (6x +12)° = ∠RST . . . . add 12, show units

The measure of angle RST is 120 degrees.

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<em>Additional comment</em>

Note that we don't actually need to know the value of x (18) in this problem. We only need to know the value of 6x.